Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition

Details Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition

2012-01-31

arxiv.org/abs/1201.6423v1

J. Phys. A: Math. Theor. 44 (2011) 345005 (15pp)

Physics

Computational Physics

18 pages, 9 figures

Scientific paper

10.1088/1751-8113/44/34/345005

With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of the dynamic systems. The dynamic scaling behavior of the pseudo-magnetization and Binder cumulant is carefully analyzed, and the critical exponents are determined. To illustrate the dynamic effect of the topological defect, similar analysis for the the dynamic relaxation with a spin-wave initial state is also performed for comparison. We demonstrate that a limited amount of quenched disorder in the core of the vortex state may alter the dynamic universality class. Further, theoretical calculations based on the long-wave approximation are presented.

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